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133142136 = 23315136739
BaseRepresentation
bin1111110111110…
…01011001111000
3100021112022200020
413323321121320
5233041022021
621113410440
73204455331
oct773713170
9307468606
10133142136
1169178726
1238709a20
1321778a3a
141397b288
15ba4e7c6
hex7ef9678

133142136 has 32 divisors (see below), whose sum is σ = 335068800. Its totient is φ = 44085600.

The previous prime is 133142081. The next prime is 133142143. The reversal of 133142136 is 631241331.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14746 + ... + 21993.

It is an arithmetic number, because the mean of its divisors is an integer number (10470900).

Almost surely, 2133142136 is an apocalyptic number.

It is an amenable number.

133142136 is an abundant number, since it is smaller than the sum of its proper divisors (201926664).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

133142136 is a wasteful number, since it uses less digits than its factorization.

133142136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36899 (or 36895 counting only the distinct ones).

The product of its digits is 1296, while the sum is 24.

The square root of 133142136 is about 11538.7233262610. The cubic root of 133142136 is about 510.6286442463.

Adding to 133142136 its reverse (631241331), we get a palindrome (764383467).

The spelling of 133142136 in words is "one hundred thirty-three million, one hundred forty-two thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 24 151 302 453 604 906 1208 1812 3624 36739 73478 110217 146956 220434 293912 440868 881736 5547589 11095178 16642767 22190356 33285534 44380712 66571068 133142136